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Finding the Fourth Proportional to 27,701.54, 41,551.22 and 9,233.54

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Solution

The fourth proportional to 27,701.54, 41,551.22 and 9,233.54 is: 13,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701.54 : 41,551.22 = 9,233.54 : x
  2. Step 2: Convert to fraction form
    27,701.54/41,551.22 = 9,233.54/x
  3. Step 3: Cross multiply
    27,701.54x = 41,551.22 × 9,233.54
  4. Step 4: Simplify right side
    27,701.54x = 383,664,851.92
  5. Step 5: Solve for x
    x = 383,664,851.92/27,701.54
  6. Step 6: Final answer
    x = 13,849.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.